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ISSN Online: 2377-424X

International Heat Transfer Conference 3
August, 7-12, 1966, Chicago, USA

RADIATIVE TRANSFER IN AN ABSORBING-SCATTERING MEDIUM

Get access (open in a dialog) DOI: 10.1615/IHTC3.1200
pages 112-121

Аннотация

A new method is proposed for solving the radiative flux and intensity distribution throughout a uni-dimensional scattering medium for the restricted case of isotropic scatter. In such systems the angular distribution of the intensity shows discontinuities but the intensity integrated over all angles is a continuous function of optical depth. The method developed is therefore based on a polynomial representation of the integrated intensity. The coefficients in the polynomial are obtained by the solution of a set of linear first-order simultaneous equations equal in number to the terms in the polynomial. The integro-differential equation is then reduced to a first-order differential equation whose solution gives the desired intensity distribution as a function of angle and position. The method is applied to the determination of the directional and integrated reflectance and transmittance of an isothermal slab as a function of the optical thickness, the ratio of the absorption to the scatter coefficient, and the intensity distribution of the incident radiation. Various useful generalizations are drawn from the results.